Assessment of Dark Matter Models Using Dark Matter Correlations across Dwarf Spheroidal Galaxies

Round 1

Reviewer 1 Report

In the manuscript, the authors have used the simulations from Eagle Project to estimate the DM distributions, the results and conclusions are well supported but it has the following minor issues,

1. Authors have described the failures of CDM models, but have missed describing certain shortcoming of LCDM models such as Impossible Early Galaxy Problem Steinhardt et al. 2016, Yennapureddy & Melia 2018,2019, High z quasar problem Melia 2018b.

2. In page 4, the authors have simply quoted the correlation function in terms of partition function but a summary of obtaining the relation is missing.

3. Section 4, in this work authors, have analysed fluctuations zeroth-order approximation analysis, but a detailed explanation of how the first-order analysis impacts the results need to be specified. 

4. Authors have assumed the phase space density to be separable in (x,y) and z, but a proper argument why such an assumption is valid was missing, the authors also need to specify the cases where the assumption could fail.

Due to the above mentioned issues I don't recommend the manuscipt in the current format.

Author Response

Please see the attached file. 

Author Response File: Author Response.pdf

Reviewer 2 Report

Dear author, 

the paper presents a procedure to predict size of dark matter substructures in kilo-parsec scales. The procedure is clearly explained and its potentiality is investigated by considering the Gaia’s data to obtain some constraints for two particular Dark Matter halo models. A comparison with a simulation is also included in order to demonstrate the goodness of the approach. The paper appears well organized, the results and the conclusions are well addressed.

I recommend the paper for the publication in the present form.

Author Response

We would like to thank the reviewer for the time they spent on our work and carefully reading the manuscript.